Answer:
- WX =

- XY =

- WY =

- Classify: Isosceles
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Explanation:
Apply the distance formula to find the length of segment WX
W = (x1,y1) = (-10,4)
X = (x2,y2) = (-3, -1)

Segment WX is exactly
units long which approximates to roughly 8.6023253
-------------------
Now let's find the length of segment XY
X = (x1,y1) = (-3, -1)
Y = (x2,y2) = (-5, 11)

Segment XY is exactly
units long which approximates to 12.1655251
-------------------
Lastly, let's find the length of segment WY
W = (x1,y1) = (-10,4)
Y = (x2,y2) = (-5, 11)

We see that segment WY is the same length as WX.
Because we have exactly two sides of the same length, this means triangle WXY is isosceles.
Answer:
FD = 8
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
=
, substitute values
=
=
( cross- multiply )
2(2x + 2) = 3(x + 3) ← distribute parenthesis on both sides
4x + 4 = 3x + 9 ( subtract 3x from both sides )
x + 4 = 9 ( subtract 4 from both sides )
x = 5
Thus
FD = x + 3 = 5 + 3 = 8
Potential energy on the ground to kinetic energy climbing the rope to gravitational potential energy at the top of the rope
81.64
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